Wavelet Transforms and Time-Frequency Signal Analysis by Lokenath Debnath (Engli

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Wavelet Transforms and Time-Frequency Signal Analysis by Lokenath Debnath

The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering.

FORMAT
Paperback LANGUAGE
English CONDITION
Brand New Publisher Description

The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering. In an effort to inform researchers in mathematics, physics, statistics, computer science, and engineering and to stimulate furtherresearch, an NSF-CBMS Research Conference on Wavelet Analysis was organized at the University of Central Florida in May 1998. Many distinguished mathematicians and scientists from allover the world participated in the conference and provided a digest of recent developments, open questions, and unsolved problems in this rapidly growing and important field. As a follow-up project, this monograph was developed from manuscripts sub­ mitted by renowned mathematicians and scientists who have made important contributions to the subject of wavelets, wavelet transforms, and time-frequency signal analysis. This publication brings together current developments in the theory and applications of wavelet transforms and in the field of time-frequency signal analysis that are likely to determine fruitful directions for future advanced study and research.

Back Cover

This volume is designed as a new source for modern topics dealing with wavelets, wavelet transforms time-frequency signal analysis and other applications for future development of this new, important and useful subject for mathematics, science and engineering. Its main features include: A broad coverage of recent material on wavelet analysis, and time-frequency signal analysis and other applications that are not usually covered in other recent reference books. The material presented in this volume brings together a rich variety of ideas that blend most aspects of the subject mentioned above. This volume brings together a detailed account of major recent developments in wavelets, wavelet transforms and time-frequency signal analysis. This volume provides the reader with a thorough mathematical background and a wide variety of applications that are sufficient to do interdisciplinary collaborative research in applied mathematics. The book provides information that puts the reader at the forefront of the current resarch. An up-to-date bibliography is included at the end of each chapter to stimulate new interest in future study and research.

Table of Contents

I Wavelets and Wavelet Transforms.- 1 Wavelet Frames: Multiresolution Analysis and Extension Principles.- 2 Convergence Rates of Multiscale and Wavelet Expansions.- 3 Denoising via Nonorthogonal Wavelet Transforms.- 4 Osiris Wavelets and the Dipole Gas.- 5 Wavelets in Closed Forms.- 6 Wavelet Galerkin Methods for Boundary Integral Equations and the Coupling with Finite Element Methods.- 7 Computing and Analyzing Turbulent Flows Using Wavelets.- 8 The Uncertainty Principle for the Short-Time Fourier Transform and Wavelet Transform.- II Time-Frequency Signal Analysis.- 9 Quadratic Time-Frequency Analysis of Linear Time-Varying Systems.- 10 Inequalities in Mellin—Fourier Signal Analysis.- 11 Introduction to Time-Frequency Signal Analysis.- 12 Reduced Interference Time-Frequency Distributions: Scaled Decompositions and Interpretations.

Review

"This book is a great collection of recent material of recent investigation on wavelet and time-frequency analysis that is not covered in the literature.... The book is an important source for all readers interested in a broad perspective. In particular, a wide variety of applications are presented that are important for interdisciplinary collaborative research."—ZAA

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Long Description

The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering. In an effort to inform researchers in mathematics, physics, statistics, computer science, and engineering and to stimulate furtherresearch, an NSF-CBMS Research Conference on Wavelet Analysis was organized at the University of Central Florida in May 1998. Many distinguished mathematicians and scientists from allover the world participated in the conference and provided a digest of recent developments, open questions, and unsolved problems in this rapidly growing and important field. As a follow-up project, this monograph was developed from manuscripts sub

Review Quote

"This book is a great collection of recent material of recent investigation on wavelet and time-frequency analysis that is not covered in the literature.... The book is an important source for all readers interested in a broad perspective. In particular, a wide variety of applications are presented that are important for interdisciplinary collaborative research."-ZAA

Description for Sales People

A state-of-the-art collection of chapters critically surveying waveletanalysis as a tool for fundamental computational harmonic analysisproblems in applied math and electrical engineering.

Details ISBN1461266297 Author Lokenath Debnath Language English Edition 01200th ISBN-10 1461266297 ISBN-13 9781461266297 Series Applied and Numerical Harmonic Analysis Year 2012 Publication Date 2012-10-23 Imprint Springer-Verlag New York Inc. Place of Publication New York Country of Publication United States Birth 1935 Short Title WAVELET TRANSFORMS & TIME-FREQ Media Book Residence Orlando, FL, US DEWEY 621.3822 AU Release Date 2012-10-23 NZ Release Date 2012-10-23 US Release Date 2012-10-23 UK Release Date 2012-10-23 Pages 425 Publisher Springer-Verlag New York Inc. Edition Description Softcover reprint of the original 1st ed. 2001 Format Paperback Alternative 9780817641047 Illustrations XX, 425 p. Country of Origin NL Product Class Description Mathematics Audience Professional & Vocational
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